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We study the statics and dynamics of anisotropic, stable, bright and dark-in-bright dipolar quasi-two-dimensional Bose-Einstein condensate (BEC) solitons on a one-dimensional (1D) optical-lattice (OL) potential. These solitons mobile in a…

Quantum Gases · Physics 2019-08-22 S K Adhikari

We demonstrate that the model of a spatially non-uniform two-component Bose-Einstein condensate (BEC) featuring the helicoidal spin-orbit coupling (SOC), gives rise to dark-bright soliton complexes characterized by spatiotemporal periodic…

Quantum Gases · Physics 2025-03-20 Cui-Cui Ding , Qin Zhou , B. A. Malomed

From protein motifs to black holes, topological solitons are pervasive nonlinear excitations that are robust and can be driven by external fields. So far, existing driving mechanisms all accelerate solitons and antisolitons in opposite…

We theoretically demonstrate a mechanism for bright soliton generation in spinor non-equilibrium Bose-Einstein condensates made of atoms or quasiparticles such as polaritons in semiconductor microcavities. We give analytical expressions for…

Pattern Formation and Solitons · Physics 2016-05-10 F. Pinsker , H. Flayac

It is demonstrated the existence of multidimensional matter-wave solitons in a crossed optical lattice (OL) with linear OL in the $x-$direction and nonlinear OL (NOL) in the $y-$direction, where the NOL can be generated by a periodic…

Atomic Physics · Physics 2010-11-15 H. L. F. da Luz , F. Kh. Abdullaev , A. Gammal , M. Salerno , Lauro Tomio

We study matter-wave bright solitons in spin-orbit (SO) coupled Bose-Einstein condensates (BECs) with attractive interatomic interactions. We use a multiscale expansion method to identify solution families for chemical potentials in the…

Quantum Gases · Physics 2013-08-09 V. Achilleos , D. J. Frantzeskakis , P. G. Kevrekidis , D. E. Pelinovsky

We investigate non-degenerate bound state solitons systematically in multi-component Bose-Einstein condensates, through developing Darboux transformation method to derive exact soliton solutions analytically. In particular, we show that…

Quantum Gases · Physics 2020-06-19 Y. H. Qin , L. C. Zhao , L. M. Ling

We present a comprehensive analysis of the form and interaction of dipolar bright solitons across the full parameter space afforded by dipolar Bose-Einstein condensates, revealing the rich behaviour introduced by the non-local nonlinearity.…

Quantum Gases · Physics 2017-02-13 M. J. Edmonds , T. Bland , R. Doran , N. G. Parker

By solving the three-dimensional Gross-Pitaevskii equation we generate two-dimensional axially-symmetric and anisotropic dipolar Bose-Einstein condensate bright solitons, for repulsive atomic interaction, stabilized by only a weak…

Quantum Gases · Physics 2015-06-03 S. K. Adhikari , P. Muruganandam

We demonstrate the formation of multi-peak three-component stationary stripe vector solitons in a quasi-one-dimensional spin-orbit-coupled hyper-fine spin $F = 1$ polar Bose-Einstein condensate. The present investigation is carried out…

Quantum Gases · Physics 2020-02-19 S K Adhikari

We study, both theoretically and experimentally, the scattering properties of optical dipole-mode vector solitons - radially asymmetric composite self-trapped optical beams. First, we analyze the soliton collisions in an isotropic…

We study theoretically the nonlinear interactions of vector breathers propagating on an unstable wavefield background. As a model, we use the two-component extension of the one-dimensional focusing nonlinear Schrodinger equation -- the…

Exactly Solvable and Integrable Systems · Physics 2022-11-15 Andrey Gelash , Anton Raskovalov

We report on the possibility of having two black solitons interacting inside a silica fiber that presents normal group-velocity dispersion, to generate a pair of solitons, a vector soliton of the black-bright type. The model obeys a pair of…

Optics · Physics 2007-05-23 L. Losano , B. Baseia , D. Bazeia

The interaction between two bright solitons in a dipolar Bose-Einstein condensate (BEC) has been investigated aiming at finding the regimes when they form a stable bound state, known as soliton molecule. To study soliton interactions in BEC…

Quantum Gases · Physics 2015-09-30 B. B. Baizakov , S. M. Al-Marzoug , H. Bahlouli

Wecritically review the recent progress in understanding soliton propagation in birefringent optical fibers.By constructing the most general bright two-soliton solution of the integrable coupled nonlinear Schroedinger equation (Manakov…

Exactly Solvable and Integrable Systems · Physics 2019-08-17 M. Lakshmanan , T. Kanna , R. Radhakrishnan

Generation, interaction and detection of dark solitons in Bose-Einstein condensates is considered. In particular, we focus on the dynamics resulting from phase imprinting and density engineering. The generation of soliton pairs as well as…

Soft Condensed Matter · Physics 2009-11-07 S. Burger , L. D. Carr , P. Ohberg , K. Sengstock , A. Sanpera

We study the quantum properties of light propagating through an array of coupled nonlinear waveguides and forming a discrete soliton. We demonstrate that it is possible to use certain types of quasi-solitons to form continuous variables…

Quantum Physics · Physics 2020-11-17 V. O. Martynov , V. O. Munyaev , L. A. Smirnov

We investigate the coherent collision of anisotropic quasi-two-dimensional bright solitons in dipolar Bose-Einstein condensates. Our analysis is based on the extended Gross-Pitaevskii equation, and we use the split-operator method for the…

Quantum Gases · Physics 2012-11-14 Rüdiger Eichler , Damir Zajec , Patrick Köberle , Jörg Main , Günter Wunner

We investigate the dynamics of vector solitons in a two-component Bose-Einstein condensates governed by the system of Gross-Pitaevskii equations. Using a gauge-transformation approach, we construct a four-soliton solution and analyze their…

Pattern Formation and Solitons · Physics 2025-07-29 Ramesh Kumar Vaduganathan , Rajadurai Vijayan , Boris A. Malomed

We present a widely accessible and experimentally realizable technique for the controlled creation of dark-bright solitons and soliton lattices in atomic Bose-Einstein condensates. The method is based on preparing the condensate in a dark…

Quantum Gases · Physics 2026-04-02 Y. Braver , D. Burba , Th. Busch , G. Juzeliūnas , P. G. Kevrekidis